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4630832640 = 29335717563
BaseRepresentation
bin1000101000000010…
…01110011000000000
3102221201201200011000
410110001032120000
533440443121030
62043302452000
7222520266540
oct42401163000
912851650130
104630832640
111a66a91115
12a92a34000
1358a524275
1431d045320
151c1833860
hex11404e600

4630832640 has 640 divisors, whose sum is σ = 19940152320. Its totient is φ = 994443264.

The previous prime is 4630832597. The next prime is 4630832659. The reversal of 4630832640 is 462380364.

It is a happy number.

4630832640 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 8 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×46308326402 = 42889221879378739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4630832595 and 4630832604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8224999 + ... + 8225561.

It is an arithmetic number, because the mean of its divisors is an integer number (31156488).

Almost surely, 24630832640 is an apocalyptic number.

4630832640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4630832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9970076160).

4630832640 is an abundant number, since it is smaller than the sum of its proper divisors (15309319680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4630832640 is a wasteful number, since it uses less digits than its factorization.

4630832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4630832640 is about 68050.2214544523. The cubic root of 4630832640 is about 1666.8110154088.

The spelling of 4630832640 in words is "four billion, six hundred thirty million, eight hundred thirty-two thousand, six hundred forty".